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5763803040 = 253254002641
BaseRepresentation
bin1010101111000110…
…01010011110100000
3112212200121112100200
411113203022132200
543301013144130
62351534145200
7262555342332
oct52743123640
915780545320
105763803040
112498575596
12114a352200
1370b179c58
143c96c7452
1523b02d760
hex1578ca7a0

5763803040 has 72 divisors (see below), whose sum is σ = 19668982788. Its totient is φ = 1537013760.

The previous prime is 5763803039. The next prime is 5763803047. The reversal of 5763803040 is 403083675.

It is a happy number.

5763803040 is a `hidden beast` number, since 576 + 3 + 80 + 3 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5673704976 + 90098064 = 75324^2 + 9492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5763802986 and 5763803004.

It is not an unprimeable number, because it can be changed into a prime (5763803047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1999881 + ... + 2002760.

Almost surely, 25763803040 is an apocalyptic number.

It is an amenable number.

5763803040 is an abundant number, since it is smaller than the sum of its proper divisors (13905179748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5763803040 is a wasteful number, since it uses less digits than its factorization.

5763803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002662 (or 4002651 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5763803040 is about 75919.7144357116. The cubic root of 5763803040 is about 1792.9563248268.

The spelling of 5763803040 in words is "five billion, seven hundred sixty-three million, eight hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4002641 8005282 12007923 16010564 20013205 24015846 32021128 36023769 40026410 48031692 60039615 64042256 72047538 80052820 96063384 120079230 128084512 144095076 160105640 180118845 192126768 240158460 288190152 320211280 360237690 384253536 480316920 576380304 640422560 720475380 960633840 1152760608 1440950760 1921267680 2881901520 5763803040